This paper introduces and investigates the notions of GN -disconnected sets, GN -connected, GN -precompact sets, and separation axioms via GN -preopen sets. They will be introduced in grill topological spaces by using the class of GN -preopen sets.
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Research Article10.9734/ajpas/2020/v10i230245
The propose of this paper is to introduce and investigate a weak form of ω-open set in grill topological spaces. We introduce the notion of -open set as a form stronger than βω-open set and weaker than ω-open set and -open set. By using this form, we study the generalization prop...
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Research Article10.9734/jamcs/2020/v35i630296
The purpose of this paper is to introduce and investigate weak form of G-open sets in G-metric spaces, namely \(G^{\beta}\)-open sets. The relationships among this form with the other known sets are introduced. We give the notions of the interior operator, the closure operator an...
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Research Article10.9734/ajarr/2021/v15i230365
Aims/ Objectives: In this paper, we study the continuity property in grill topological spaces via generalized G\(\omega\) -closed sets and regular generalized G\(\omega\) - closed sets. These notions are generalized G\(\omega\) - continuous functions which is weak form of g\(\ome...
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Research Article10.9734/arjom/2022/v18i1130427